Answer
$\dfrac{3y}{7x}$
Work Step by Step
RECALL:
$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$
Use the rule above to obtain:
$=\dfrac{6}{x} \times \dfrac{y}{14}$
Cancel out the common factors, and then multiply to obtain:
$\require{cancel}
\\=\dfrac{\cancel{6}3}{x} \times \dfrac{y}{\cancel{14}7}
\\=\dfrac{3y}{7x}$